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Nonlinear Negative Imaginary Systems with Switching

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dc.contributor.authorShi, Kanghongen
dc.contributor.authorPetersen, Ian R.en
dc.contributor.authorVladimirov, Igor G.en
dc.date.accessioned2026-07-03T08:40:45Z
dc.date.available2026-07-03T08:40:45Z
dc.date.issued2023en
dc.description.abstractIn this paper, we extend nonlinear negative imaginary (NI) systems theory to switched systems. Switched nonlinear NI systems and switched nonlinear output strictly negative imaginary (OSNI) systems are defined. We show that the interconnection of two switched nonlinear NI systems is still switched nonlinear NI. The interconnection of a switched nonlinear NI system and a switched nonlinear OSNI system is asymptotically stable under some assumptions. This stability result is then illustrated using a numerical example.en
dc.description.sponsorshipThis work was supported by the Australian Research Council under grant DP190102158. The author Kanghong Shi would like to thank Dr. Nastaran Nikooienejad for sharing the simulation file of their previously coauthored paper Shi et al. (2022), which was referred to for the simulation of the example in the present paper.en
dc.description.statusPeer-revieweden
dc.format.extent6en
dc.identifier.isbn9781713872344en
dc.identifier.otherORCID:/0000-0003-4856-9450/work/219177639en
dc.identifier.scopus85184962061en
dc.identifier.urihttps://hdl.handle.net/1885/733812310
dc.language.isoenen
dc.publisherElsevier B.V.en
dc.relation.ispartofIFAC-PapersOnLineen
dc.relation.ispartofseries22nd IFAC World Congressen
dc.relation.ispartofseriesIFAC-PapersOnLineen
dc.relation.isversionof2en
dc.rightsPublisher Copyright: Copyright © 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)en
dc.subjectnonlinear negative imaginary systemen
dc.subjectnonlinear systemen
dc.subjectrobust controlen
dc.subjectstorage functionen
dc.subjectswitched systemen
dc.titleNonlinear Negative Imaginary Systems with Switchingen
dc.typeConference paperen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage3941en
local.bibliographicCitation.startpage3936en
local.contributor.affiliationShi, Kanghong; School of Engineering, ANU College of Systems and Society, The Australian National Universityen
local.contributor.affiliationPetersen, Ian R.; School of Engineering, ANU College of Systems and Society, The Australian National Universityen
local.contributor.affiliationVladimirov, Igor G.; School of Engineering, ANU College of Systems and Society, The Australian National Universityen
local.identifier.ariespublicationa383154xPUB47109en
local.identifier.doi10.1016/j.ifacol.2023.10.1331en
local.identifier.essn2405-8963en
local.identifier.pure8ac080f1-b38a-46c3-a6a9-465ca6f186c7en
local.identifier.urlhttps://www.scopus.com/pages/publications/85184962061en
local.type.statusPublisheden

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